Some elliptic curve magic ahead!
Public key for 2^256 in secp256k1 :
03dd3625faef5ba06074669716bbd3788d89bdde815959968092f76cc4eb9a9787
Private key :
000000000000000000000000000000014551231950b75fc4402da1732fc9bebf
Public key divided by 2 :
02b23790a42be63e1b251ad6c94fdef07271ec0aada31db6c3e8bd32043f8be384
Private key : 2^255
8000000000000000000000000000000000000000000000000000000000000000
Now we add an even key to our 2^256 :
Target Pub
034a4a6dc97ac7c8b8ad795dbebcb9dcff7290b68a5ef74e56ab5edde01bced775
Target Prv
0000000000000000000000000000000000000000000000000000000000008000
Result : pub
02c028224b2c45bd797143e8f32f025e24601ed85f27ef310d7d55020a192ddba5
Prv
000000000000000000000000000000014551231950b75fc4402da1732fca3ebf
Divide by 2 , result :
0216ca7e1edb137684b4aa8a41fd0f8a89dcb773b9db807a9f3f864de2161735ff
Now subtract pub 2^255 from above, result :
03111d6a45ac1fb90508907a7abcd6877649df662f3b3e2741302df6f78416824a
Prv, also real half of our original target :
03111d6a45ac1fb90508907a7abcd6877649df662f3b3e2741302df6f78416824a , 0000000000000000000000000000000000000000000000000000000000004000
I just enjoy making a simple division difficult and twisted! 🤣, now chop chop start your brain's engine and do some calculation, large fractions could be solved by accounting for the above results, not telling you how.
Dive deep and let your brain solve it.😉